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Finding the Fourth Proportional to 212,056.92, 292,642.20 and 116,567.64

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Solution

The fourth proportional to 212,056.92, 292,642.20 and 116,567.64 is: 160,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,056.92 : 292,642.20 = 116,567.64 : x
  2. Step 2: Convert to fraction form
    212,056.92/292,642.20 = 116,567.64/x
  3. Step 3: Cross multiply
    212,056.92x = 292,642.20 × 116,567.64
  4. Step 4: Simplify right side
    212,056.92x = 34,112,610,618.41
  5. Step 5: Solve for x
    x = 34,112,610,618.41/212,056.92
  6. Step 6: Final answer
    x = 160,865.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.